Question

Someone please help me with this question

Answer 1

x=3.5

Explanation:

You can find x by finding the hypotenuse of that triangle, which is the leg of the other triangle. Find the value of the leg first:

You can use the sine ratio to find the leg. This is because
`sine=(opposite)/(hypotenuse)` and we have the hypotenuse for that triangle and we need to find the side opposite the given angle, 45°. Insert values:

`sin45=(x)/(7)`

Solve for x. Multiply both sides by 7:

`7*(sin45)=7*((x)/(7))\\\\7*sin45=x\\\\x=7*sin45`

Enter the value into a calculator:

`x=4.9`

The leg is 4.9. Use this to solve for the next x. Use the sine ratio for the same reason. Insert values:

`sin45=(x)/(4.9)`

Solve for x. Multiply both sides by 4.9:

`4.9*(sin45)=4.9*((x)/(4.9))\\\\4.9*sin45=x\\\\x=4.9*sin45`

Insert into a calculator:

`x=3.5`

Finito.